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Finding the Fourth Proportional to 6,282.40, 8,328.52 and 6,282.40

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Solution

The fourth proportional to 6,282.40, 8,328.52 and 6,282.40 is: 8,328.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282.40 : 8,328.52 = 6,282.40 : x
  2. Step 2: Convert to fraction form
    6,282.40/8,328.52 = 6,282.40/x
  3. Step 3: Cross multiply
    6,282.40x = 8,328.52 × 6,282.40
  4. Step 4: Simplify right side
    6,282.40x = 52,323,094.05
  5. Step 5: Solve for x
    x = 52,323,094.05/6,282.40
  6. Step 6: Final answer
    x = 8,328.52

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.